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Finding the Fourth Proportional to 577.92, 867.17 and 253.29

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Solution

The fourth proportional to 577.92, 867.17 and 253.29 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 867.17 = 253.29 : x
  2. Step 2: Convert to fraction form
    577.92/867.17 = 253.29/x
  3. Step 3: Cross multiply
    577.92x = 867.17 × 253.29
  4. Step 4: Simplify right side
    577.92x = 219,645.49
  5. Step 5: Solve for x
    x = 219,645.49/577.92
  6. Step 6: Final answer
    x = 380.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.